Search a number
-
+
263243141342361 = 33231672683946081
BaseRepresentation
bin111011110110101100010001…
…111011011110010010011001
31021112001210120010121210121000
4323312230101323132102121
5234000433423140423421
62331512121334135213
7106306455305111565
oct7366542173362231
91245053503553530
10263243141342361
117697187560a384
122563634b4b1509
13b3b694c7b053b
144901070bbc6a5
152067858ea5226
hexef6b11ede499

263243141342361 has 64 divisors (see below), whose sum is σ = 409535737712640. Its totient is φ = 166797642908160.

The previous prime is 263243141342359. The next prime is 263243141342371. The reversal of 263243141342361 is 163243141342362.

263243141342361 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 431 + 4 + 134 + 23 + 61 = 666.

It is not a de Polignac number, because 263243141342361 - 21 = 263243141342359 is a prime.

It is a super-2 number, since 2×2632431413423612 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (263243141342371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277772841 + ... + 278718921.

It is an arithmetic number, because the mean of its divisors is an integer number (6398995901760).

Almost surely, 2263243141342361 is an apocalyptic number.

It is an amenable number.

263243141342361 is a deficient number, since it is larger than the sum of its proper divisors (146292596370279).

263243141342361 is a wasteful number, since it uses less digits than its factorization.

263243141342361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948963 (or 948957 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

Subtracting from 263243141342361 its reverse (163243141342362), we obtain a palindrome (99999999999999).

The spelling of 263243141342361 in words is "two hundred sixty-three trillion, two hundred forty-three billion, one hundred forty-one million, three hundred forty-two thousand, three hundred sixty-one".

Divisors: 1 3 9 23 27 69 167 207 501 621 1503 2683 3841 4509 8049 11523 24147 34569 61709 72441 103707 185127 448061 555381 946081 1344183 1666143 2838243 4032549 8514729 10305403 12097647 21759863 25544187 30916209 65279589 92748627 157995527 195838767 278245881 473986581 587516301 1421959743 2538335323 3633897121 4265879229 7615005969 10901691363 22845017907 32705074089 58381712429 68535053721 98115222267 175145137287 423901998941 525435411861 1271705996823 1576306235583 3815117990469 9749745975643 11445353971407 29249237926929 87747713780787 263243141342361